5.1 Views & ownership
Executive view (CFO/Executive). One-line truth per KPI: the classic number m (unchanged) plus a compact stability badge (band in {A++,A+,A0,A-,A--}). Weekly band counts and, optionally, a single roll-up lane keep attention on drift, not noise. If entropy canonicals are enabled, you may show a small calm badge derived from SyZ_t (green when SyZ_t is high).
Owner view (Finance/RevOps/AR). Daily a trend with band shading, slices (segment/region/age bucket), and stamped CSV links. Owners acknowledge downgrades and record actions. If enabled, overlay Z_t, A_t, Delta_t for diagnostic context.
Internal audit view. Provenance (stamp lines), manifest parity, and conformance gates. A checklist confirms phi((m,a)) = m, band == band(a), and batch == stream == shuffled.
5.2 KPI card spec (copy-ready)
Each KPI tile shows: Title, m, a, band, delta_a_7d := a_t - a_{t-7}, optional provenance (build_id, last stamp hash short), optional calm badge (SyZ_t or a_syasys := 2*SyZ_t - 1).
band(a) := "A++" if a>=0.75 else
"A+" if a>=0.50 else
"A0" if a>=0.25 else
"A-" if a>=0.10 else
"A--"
5.3 Standard dashboard layout
Top strip (executive): Today’s m and band for 3–5 KPIs; 7-day band counts.
Main area (owner): line for m (unchanged), thin underlay for a with band shading, segment table by a_drop_14d := a_t - a_{t-14}, and an “exceptions” table for downgrades without m movement (|m_t - m_{t-1}| <= eps_m).
Optional roll-up:
a_sdi := tanh( (Σ atanh(a_i)) / max(n, 1) )
5.4 Alerting & band governance (noise-free by design)
One-time ordinal:
score("A++")=5, score("A+")=4, score("A0")=3, score("A-")=2, score("A--")=1
Hysteresis (defaults): promote if delta_a >= +0.05; demote if delta_a <= -0.05.
Core triggers (declare 2–3 per KPI):
degrade_2of3 := (score_t < score_{t-1}) +
(score_{t-1} < score_{t-2}) +
(score_{t-2} < score_{t-3}) >= 2
slope_7d := (a_t - a_{t-7}) / 7 # alert if slope_7d <= -0.02
gap_peer := a_kpi - a_peer # alert if gap_peer <= -0.10 for 3 days
crosslane := (band_drop(a_agree) >= 1) AND (band_drop(a_cash) >= 1) within 5 days
Calm gate (optional):
trigger := condition AND (SyZ_t <= tau_syz on d of last w days)
# e.g., tau_syz=0.35, d=2, w=3
Alert budget: max_alerts_per_kpi_week := 2.
Triage SLA:
Yellow (owner): ack <= 1 business day
Orange (director): RCA <= 2 business days
Red (CFO): decision at next exec stand-up
5.5 Slicing & stability debt ledger
Weekly slice pass across top segments. Compute:
target_score := 4 # A+ as house target
avg_score_30d := mean(score_t over last 30 days)
stability_debt_30d := max(0, target_score - avg_score_30d)
Track owners, causes, and paydown dates.
5.6 Data contract (columns, manifest, stamps)
CSV (pilot/prod):
time, kpi, m, a, band, knobs_hash, build_id, stamp
# Optional diagnostics (display-only): Z, A, Delta, Q, SyZ
Manifest (ASCII, beside data):
version, date_utc, eps_a, eps_w, gamma, division_policy,
bands{...}, hysteresis{...}, mappings{...}, conformance_checksum
Stamps (optional but recommended):
SSMCLOCK1|iso_utc|rasi_idx|theta_deg|sha256(file)|chain
chain_0 := "0"*64
chain_k := sha256( ascii(chain_{k-1} + "|" + stamp_core_k) )
rollup_D := sha256( ascii(Stamp_1 "|" ... "|" Stamp_n) )
5.7 Conformance in Ops (daily/weekly/quarterly)
Daily (automated): clamp safety (-1 < a < +1 after clamp), collapse parity, band parity, deterministic export.
Weekly: order test (batch vs stream vs shuffled within eps_num := 1e-12), ratio parity, knobs diff (knobs_hash stable unless policy changed), stamp continuity.
Quarterly: re-run a historical window end-to-end; confirm identical outputs and unchanged semantics. If entropy canonicals are enabled: replay stability for Z_t, A_t, Delta_t, SyZ_t and positive affine rescale invariance after edge-normalization.
5.8 Release & change management
Semver style: keep version=1.0 while semantics hold; bump build_id per deployment. Do not alter mappings mid-quarter without a memo. Any change to {eps_a, eps_w, gamma, division_policy, bands, hysteresis, mappings} regenerates knobs_hash. If bands change, publish band_legacy for 30 days.
5.9 Access, privacy, audit readiness
PII-free by default (a, band, stamp carry no personal data). Least privilege: exec dashboards show m, a, band; owners may see knobs_hash, build_id, stamps. Audit pack: manifest, conformance report, stamped CSVs, acceptance note.
5.10 Example policy block (drop-in)
[SSM_AUDIT_POLICY]
bands = {A++=0.75, A+=0.50, A0=0.25, A-=0.10, A--=-inf}
hysteresis = {promote=0.05, demote=-0.05}
alerts = {
degrade_2of3 = true,
slope_7d = -0.02,
crosslane = {pair=["Refunds_agreement","Cash_inflow"], band_drop=1, window_days=5},
calm_gate = {enabled=true, tau_syz=0.35, d=2, w=3},
max_alerts_per_kpi_week = 2
}
targets = {band_score=4}
slo = {ack_yellow=1d, rca_orange=2d, decision_red=next_exec}
5.11 What “good” looks like after 30 days
Same numbers, calmer meetings; alert counts under budget; fewer flickers. At least two documented “fixed early” actions. Conformance PASS (phi((m,a)) = m everywhere; stamps recompute if enabled). Leaders talk about stability debt with the same ease they talk about revenue and cash.
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Next: SSM-Audit – Economics & ROI (6.1–6.8)
Meta description
SSM-Audit BI & Ops playbook (5.1–5.11): copy-ready tiles, band logic, noise-free alerting with calm gates, slicing and stability-debt ledger, data contract, conformance cadence, and a drop-in policy block—keeping m identical while a and bands make reviews calmer and actions earlier.
You said:
we did not cover these two..4.4 I7 and license… let us do it… you can combine them in one.. make license brief at the end====I7 — Portfolio stability index (optional roll-up) Purpose. One-look view across lanes to spot broad “stability debt.” Index (bounded, rapidity-safe). Select lanes {a_i} across modules; optionally assign non-negative weights {w_i}. W := Σ_i w_i (use w_i := 1 for equal weighting) a_sdi := tanh( ( Σ_i w_i*atanh(a_i) ) / max(W, 1e-12) ) (Clamp inputs before any atanh: a_i := clamp(a_i, -1+eps_a, +1-eps_a).) Group-balanced option (avoid over-weighting one module). Aggregate lanes within each module j first, then combine modules: Within-module: u_j := ( Σ_i w_{ji}*atanh(a_{ji}) ) / max(W_j, 1e-12); a_j := tanh(u_j) Across modules: V := Σ_j v_j; a_sdi := tanh( ( Σ_j v_j*atanh(a_j) ) / max(V, 1e-12) ) Declare {w_{ji}} (lane weights) and {v_j} (module weights) once in the manifest. Optional smoothing (executive display only, not for CI). EWMA in rapidity space: u_sdi_raw := ( Σ_i w_i*atanh(a_i) ) / max(W, 1e-12) u_sdi_t := (1 – eta)*u_sdi_{t-1} + eta*u_sdi_raw with eta in (0,1] a_sdi_t := tanh(u_sdi_t) Interpretation. High a_sdi ⇒ broad stability; low a_sdi ⇒ cross-functional fragility. Knobs to declare. lane_set, w_i (or {w_{ji}}, {v_j} for group-balanced), eps_a, optional eta for display smoothing. Bands use the global thresholds; no classical m is altered anywhere (phi((m,a)) = m within each underlying KPI). Mini calculator kit (10 rows). date kpi m a band 2025-10-01 Stability_index 0.0 0.78 A+ 2025-10-02 Stability_index 0.0 0.76 A+ 2025-10-03 Stability_index 0.0 0.72 A+ 2025-10-04 Stability_index 0.0 0.66 A+ 2025-10-05 Stability_index 0.0 0.60 A+ 2025-10-06 Stability_index 0.0 0.54 A+ 2025-10-07 Stability_index 0.0 0.47 A0 2025-10-08 Stability_index 0.0 0.42 A0 2025-10-09 Stability_index 0.0 0.37 A0 2025-10-10 Stability_index 0.0 0.31 A0 ________________________________________ 4.5 — Legal & Licensing (brief) Scope & intent. Observation-only; this work does not replace controls, statutory reporting, or professional advice. Results preserve classical figures (phi((m,a)) = m). As-is, no warranty. No endorsement or affiliation implied. Anonymization & derived-only. Real-style case studies are anonymized; we do not redistribute third-party raw data unless the license explicitly permits it. Published artifacts are derived values only (lanes, bands, charts, manifests, stamps). Public dataset attribution (Kaggle/UCI). Dataset: Audit Data (“Audit Risk”). Primary steward: Kaggle listing by sid321axn. Original source: UCI Machine Learning Repository. License: CC BY 4.0 (attribution required). We used and visualized the data in accordance with the license; no endorsement implied. License. © The Authors of Shunyaya Framework and Shunyaya Symbolic Mathematics. Released under CC BY-NC 4.0 (non-commercial, with attribution). Observation-only; not for operational, safety-critical, or legal decision-making. We do not redistribute third-party raw data unless the license explicitly permits it.
ChatGPT said:
Thought for 24s
SSM-Audit – Portfolio Stability Index + Licensing (4.4 I7, 4.5)
I7 — Portfolio stability index (optional roll-up)
Purpose. One-look view across lanes to spot broad “stability debt” while keeping classical values identical (phi((m,a)) = m). The index stays bounded in (-1,+1) and composes via rapidity to remain order-invariant and interpretable.
Index (bounded, rapidity-safe).
# Inputs: lanes a_i in (-1,+1), weights w_i >= 0
W := SUM_i w_i # use w_i := 1 for equal weighting
u := ( SUM_i w_i*atanh(a_i) ) / max(W, 1e-12)
a_sdi := tanh(u) # bounded portfolio lane in (-1,+1)
# Clamp inputs before any atanh:
a_i := clamp(a_i, -1+eps_a, +1-eps_a) with eps_a := 1e-6
Group-balanced option (avoid over-weighting one module).
# Within each module j
W_j := SUM_i w_{j,i}
u_j := ( SUM_i w_{j,i}*atanh(a_{j,i}) ) / max(W_j, 1e-12)
a_j := tanh(u_j)
# Across modules
V := SUM_j v_j
u_all := ( SUM_j v_j*atanh(a_j) ) / max(V, 1e-12)
a_sdi := tanh(u_all)
Optional smoothing (executive display only; not for CI math).
u_sdi_raw := ( SUM_i w_i*atanh(a_i) ) / max(W, 1e-12)
u_sdi_t := (1 - eta)*u_sdi_{t-1} + eta*u_sdi_raw # 0 < eta <= 1
a_sdi_t := tanh(u_sdi_t)
Interpretation.
High a_sdi => broad stability; low a_sdi => cross-functional fragility. Bands use the global thresholds (A++/A+/A0/A-/A--). Classical m values remain unchanged everywhere (phi((m,a)) = m within each underlying KPI).
Knobs to declare (manifest).
[SSM_AUDIT_SDI]
lane_set = ["Refunds_agreement","AR_collected_issued","Revenue_actual"] # example
weights = {Refunds_agreement=1.0, AR_collected_issued=1.0, Revenue_actual=1.0}
group_balanced = false
# Optional display smoothing (do not use in CI calculations)
eta_display = 0.20
eps_a = 1e-6
Mini calculator kit (10 rows; copy-ready).
date,kpi,m,a,band
2025-10-01,Stability_index,0.0,0.78,A+
2025-10-02,Stability_index,0.0,0.76,A+
2025-10-03,Stability_index,0.0,0.72,A+
2025-10-04,Stability_index,0.0,0.66,A+
2025-10-05,Stability_index,0.0,0.60,A+
2025-10-06,Stability_index,0.0,0.54,A+
2025-10-07,Stability_index,0.0,0.47,A0
2025-10-08,Stability_index,0.0,0.42,A0
2025-10-09,Stability_index,0.0,0.37,A0
2025-10-10,Stability_index,0.0,0.31,A0
4.5 — Legal & Licensing (brief)
Scope & intent. Observation-only; this work does not replace controls, statutory reporting, or professional advice. Results preserve classical figures (phi((m,a)) = m). As-is, no warranty. No endorsement or affiliation implied.
Anonymization & derived-only. Real-style case studies are anonymized; we do not redistribute third-party raw data unless the license explicitly permits it. Published artifacts are derived values only (lanes, bands, charts, manifests, stamps).
Public dataset attribution (Kaggle/UCI).
Dataset: Audit Data (“Audit Risk”). Primary steward: Kaggle listing by sid321axn. Original source: UCI Machine Learning Repository. License: CC BY 4.0 (attribution required). We used and visualized the data in accordance with CC BY 4.0; no endorsement implied.
License.
© The Authors of Shunyaya Framework and Shunyaya Symbolic Mathematics. Released under CC BY-NC 4.0 (non-commercial, with attribution). Observation-only; not for operational, safety-critical, or legal decision-making. We do not redistribute third-party raw data unless the license explicitly permits it.
Navigation
Previous: SSM-Audit – Illustrative Case: Cash healthy, schedule slipping (4.4 I6)
Next: SSM-Audit – BI & Operations (5.1–5.11)
Meta description
SSM-Audit portfolio stability index and licensing: a bounded, rapidity-safe SDI for one-look stability across lanes (with group-balanced and smoothing options) plus a brief legal/licensing note. Classical numbers remain identical (phi((m,a)) = m); only the bounded lane drives bands and decisions.
You said:
oh we are citing public dataset here.. can we follow the same pattern like we did earlier (earlier section 4 case studies?)… making it generic===No third-party data is embedded here; full, stampable artifacts are available via the repository link below… can you reproduce?
ChatGPT said:
Thought for 10s
SSM-Audit – Portfolio Stability Index + Licensing (4.4 I7, 4.5)
I7 — Portfolio stability index (optional roll-up)
Purpose. One-look view across lanes to spot broad “stability debt” while keeping classical values identical (phi((m,a)) = m). The index stays bounded in (-1,+1) and composes via rapidity to remain order-invariant and interpretable.
Index (bounded, rapidity-safe).
# Inputs: lanes a_i in (-1,+1), weights w_i >= 0
W := SUM_i w_i # use w_i := 1 for equal weighting
u := ( SUM_i w_i*atanh(a_i) ) / max(W, 1e-12)
a_sdi := tanh(u) # bounded portfolio lane in (-1,+1)
# Clamp inputs before any atanh:
a_i := clamp(a_i, -1+eps_a, +1-eps_a) with eps_a := 1e-6
Group-balanced option (avoid over-weighting one module).
# Within each module j
W_j := SUM_i w_{j,i}
u_j := ( SUM_i w_{j,i}*atanh(a_{j,i}) ) / max(W_j, 1e-12)
a_j := tanh(u_j)
# Across modules
V := SUM_j v_j
u_all := ( SUM_j v_j*atanh(a_j) ) / max(V, 1e-12)
a_sdi := tanh(u_all)
Optional smoothing (executive display only; not for CI math).
u_sdi_raw := ( SUM_i w_i*atanh(a_i) ) / max(W, 1e-12)
u_sdi_t := (1 - eta)*u_sdi_{t-1} + eta*u_sdi_raw # 0 < eta <= 1
a_sdi_t := tanh(u_sdi_t)
Interpretation.
High a_sdi => broad stability; low a_sdi => cross-functional fragility. Bands use the global thresholds (A++/A+/A0/A-/A--). Classical m values remain unchanged everywhere (phi((m,a)) = m within each underlying KPI).
Knobs to declare (manifest).
[SSM_AUDIT_SDI]
lane_set = ["Refunds_agreement","AR_collected_issued","Revenue_actual"] # example
weights = {Refunds_agreement=1.0, AR_collected_issued=1.0, Revenue_actual=1.0}
group_balanced = false
# Optional display smoothing (do not use in CI calculations)
eta_display = 0.20
eps_a = 1e-6
Mini calculator kit (10 rows; copy-ready).
date,kpi,m,a,band
2025-10-01,Stability_index,0.0,0.78,A+
2025-10-02,Stability_index,0.0,0.76,A+
2025-10-03,Stability_index,0.0,0.72,A+
2025-10-04,Stability_index,0.0,0.66,A+
2025-10-05,Stability_index,0.0,0.60,A+
2025-10-06,Stability_index,0.0,0.54,A+
2025-10-07,Stability_index,0.0,0.47,A0
2025-10-08,Stability_index,0.0,0.42,A0
2025-10-09,Stability_index,0.0,0.37,A0
2025-10-10,Stability_index,0.0,0.31,A0
4.5 — Legal, Licensing, and Repository Note (brief)
Scope and intent. Observation-only; this work does not replace controls, statutory reporting, or professional advice. Results preserve classical figures (phi((m,a)) = m). As-is, no warranty. No endorsement or affiliation implied.
Anonymization and derived-only. Real-style case studies are anonymized. No third-party data is embedded here; we publish derived values only (lanes, bands, charts, manifests, stamps).
Repository link for artifacts.
Full, stampable artifacts (scripts, stamped runs, sample CSVs, and any third-party license notes where applicable) are available via the repository link below.
License for this page.
© The Authors of Shunyaya Framework and Shunyaya Symbolic Mathematics. Released under CC BY-NC 4.0 (non-commercial, with attribution). Observation-only; not for operational, safety-critical, or legal decision-making.
Navigation
Previous: SSM-Audit – Illustrative Case: Cash healthy, schedule slipping (4.4 I6)
Next: SSM-Audit – Economics & ROI (6.1–6.8)
Directory of Pages
SSM-Audit – Table of Contents
Frequently asked questions
SSM-Audit Q & A
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